1017712128 has 80 divisors (see below), whose sum is σ = 2745895680. Its totient is φ = 334903296.

The previous prime is 1017712081. The next prime is 1017712133. The reversal of 1017712128 is 8212177101.

It is a junction number, because it is equal to n+sod(n) for n = 1017712095 and 1017712104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117151 + ... + 125537.

It is an arithmetic number, because the mean of its divisors is an integer number (34323696).

Almost surely, 2^1017712128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1017712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372947840).

1017712128 is an abundant number, since it is smaller than the sum of its proper divisors (1728183552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1017712128 is an frugal number, since it uses more digits than its factorization.

1017712128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8487 (or 8471 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 30.

The square root of 1017712128 is about 31901.6007121900. The cubic root of 1017712128 is about 1005.8695239510.

Adding to 1017712128 its reverse (8212177101), we get a palindrome (9229889229).

The spelling of 1017712128 in words is "one billion, seventeen million, seven hundred twelve thousand, one hundred twenty-eight".